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Twisted K-theory and loop groups

2002/06/23 by Daniel S. Freed, Freed, Daniel S.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #hep-th #math.AT #math.RT

paper · pdf · doi:10.48550/arxiv.math/0206237

12 pages, ICM talk, assertion about ring structure fixed

openalex publication_date 2002/06/23 · arxiv created 2002/06/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Twisted K-theory has received much attention recently in both mathematics and physics. We describe some models of twisted K-theory, both topological and geometric. Then we state a theorem which relates representations of loop groups to twisted equivariant K-theory. This is joint work with Michael Hopkins and Constantin Teleman.

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